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The roots of a quadratic equation can be found with the quadratic formula: x = (-b ± sqrt(b^2-4ac) )/2a

Putting our values of a, b and c into this formula we get x = (5±sqrt(25-12p)) / 6

Since one root is 3 times the other, we can set up the following equation:

(5+sqrt(25-12p))/6 = 3*(5-sqrt(25-12p))/6

Solving this equation gives p = 25/16

To check, we can put this value of p back into our solution for the roots. This gives the roots as 5/4 and 5/12, so we are correct.

Maths

The root of the quadratic equation 3  (power2) - 5x + p =0 is three times the value of other roo . Calculate the value of p  Add Maths-Quadratic Equation

Leo Penrose

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Leo Penrose